2172135000000 has 896 divisors, whose sum is σ = 8324828688384. Its totient is φ = 489600000000.

The previous prime is 2172134999981. The next prime is 2172135000031. The reversal of 2172135000000 is 5312712.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14384999925 + ... + 14385000075.

Almost surely, 2^{2172135000000} is an apocalyptic number.

2172135000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2172135000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4162414344192).

2172135000000 is an abundant number, since it is smaller than the sum of its proper divisors (6152693688384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2172135000000 is an frugal number, since it uses more digits than its factorization.

2172135000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The spelling of 2172135000000 in words is "two trillion, one hundred seventy-two billion, one hundred thirty-five million", and thus it is an aban number.